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Finding the Fourth Proportional to 6,503.57, 9,755.35 and 5,213.24

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Solution

The fourth proportional to 6,503.57, 9,755.35 and 5,213.24 is: 7,819.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.57 : 9,755.35 = 5,213.24 : x
  2. Step 2: Convert to fraction form
    6,503.57/9,755.35 = 5,213.24/x
  3. Step 3: Cross multiply
    6,503.57x = 9,755.35 × 5,213.24
  4. Step 4: Simplify right side
    6,503.57x = 50,856,980.83
  5. Step 5: Solve for x
    x = 50,856,980.83/6,503.57
  6. Step 6: Final answer
    x = 7,819.86

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.